#20145: Hilbert series bug
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       Reporter:  stumpc5                        |        Owner:
           Type:  defect                         |       Status:  new
       Priority:  major                          |    Milestone:  sage-7.1
      Component:  commutative algebra            |   Resolution:
       Keywords:  Hilbert series, polynomial     |    Merged in:
  ring                                           |    Reviewers:
        Authors:                                 |  Work issues:
Report Upstream:  Not yet reported upstream;     |       Commit:
  Will do shortly.                               |     Stopgaps:
         Branch:                                 |
   Dependencies:                                 |
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Changes (by dimpase):

 * upstream:  N/A => Not yet reported upstream; Will do shortly.


Comment:

 Replying to [comment:7 stumpc5]:

 > Anyway, it seems to be a bug in Singular, so I suggest to leave this
 ticket open until that is fixed, and then add a doctest for checking...
 >
 > I would also appreciate if someone knowing how this Hilbert numerator is
 computed in Singular would send a bug report there (or shows me how to
 reproduce the bug in Singular).

 I think you know that in the output of hilb(std(I)) (the part you omitted
 and indicated by ...) is the numerator that should be divisible by the
 appropriate power of t-1, but it is not.

 As to writing up the corresponding Singular commands to show this... I can
 do this for you, although I didn't touch it for 5+ years...

--
Ticket URL: <http://trac.sagemath.org/ticket/20145#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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